Keith Davidson, a lawyer for Daniels, whose real name is Stephanie Clifford, confirmed the statement was authentic but didn't offer any further details.

The statement came at a curious time for Clifford, who appeared after the president's State of the Union address on ABC's "Jimmy Kimmel Live!" In recent weeks she has changed production companies, given a television interview and promoted strip club appearances with a risque play on Trump's "Make America Great Again," campaign slogan.

Michael Cohen, Trump's personal lawyer, has denied there was any affair.

On Kimmel's show, Clifford ducked most of his questions about the alleged affair by either remaining silent or cracking jokes. She addressed, vaguely, the legitimacy of the new statement.

Kimmel began by displaying a copy and comparing her signature on it to other examples. They didn't match, he said, asking if she had signed it.

The ABC host asked if that was an admission that the statement was written and released without her approval, which drew a smile, coy look and a giggle from Clifford.

The rest of the interview went on in the same vein, as Clifford skirted whether she had signed a non-disclosure agreement; if an In Touch magazine interview was accurate — "Not as it is written," she replied — and if the magazine's full transcript of her comments was accurate.

When Kimmel started to read details of her alleged encounters with Trump, Clifford interrupted: "I thought this was a talk show, not a horror movie. Because this is a whole different pay scale."

A week after that report, In Touch magazine printed a 5,000-word interview it conducted with Clifford in 2011 but never published after Cohen threatened the tabloid with a lawsuit, the Associated Press has previously reported.

In that interview, Clifford described a single sexual encounter with Trump in 2006 when he was recently married to his third wife, Melania, as well as a subsequent years-long relationship with the reality TV star. The magazine said it corroborated her account with friends and that she passed a lie detector test.

In her statement Tuesday, Clifford said she wasn't denying the affair because she was paid "hush money," but rather "because it never happened."

Neither Cohen nor Clifford have addressed whether she was paid $130,000, and if so why.

A publicist didn't respond to questions about the statement Tuesday.

Kimmel's show opened with him and Clifford seated in armchairs and watching Trump's State of the Union address.

"Enough of this. Stormy, show me on the puppet what he did to you," Kimmel said to her, holding up a doll dressed in a shirt and briefs and with a mop of Trump-like hair.

Clifford produced a blond female doll with duct tape across its mouth, and gave a small nod as she looked at the camera.

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AP Television Writer Lynn Elber in Los Angeles contributed to this report.